1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artist 52 [7]
3 years ago
7

Given that the hypotenuse of this right triangle is 25 cm long and that tan(Θ) = 3 Find the values of x and y, accurate to the n

earest tenth. A) x ≈ 7.9; y ≈ 23.7 B) x ≈ 23.7; y ≈ 7.9 C) x ≈ 7.9; y ≈ 26.4 D) x ≈ 26.4; y ≈ 79.1
Mathematics
2 answers:
KIM [24]3 years ago
5 0

Answer:


Step-by-step explanation:

The right triangle above you can use SOHCAHTOA and determine that tanθ =

y

x

. Replacing tanθ with 3 you get

3 =

y

x


3x = y


Then use the Pythagorean Theorem to

x2 + y2 = 252. Replace y with 3x

x2 + 9x2 = 625

10x2 = 625

x2 =

625

10


x =

25

10

= 7.9


Since,

y = 3x

y = 3(7.9) = 23.7


x ≈ 7.9; y ≈ 23.7


saveliy_v [14]3 years ago
4 0
The wording of this problem indicates that there was an illustration.  Could you possibly share that illustration?

Working without an illustration:

If tan theta = 3, then tan theta = opp/adj = 3/1.  This tells us that the opp side is 3 times as long as is the adj. side.  Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.

Then y = 3x (the opp side is 3x the adj side in length).

Applying the Pyth. Thm.    a^2 + b^2 = c^2,

x^2 + (3x)^2 = hyp^2 = (25 cm.)^2

So x^2 + 9x^2 = (625 cm^2)

10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2

x = 7.91 cm.  Therefore, y = 3(7.91) = 23.72 cm.

We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm

Would that be A, B, C or D?
You might be interested in
Help me real answers
Slav-nsk [51]
That is a vertical stretch by 2
8 0
3 years ago
Please help me solve these questions
Nostrana [21]
1= 15
2= 12
Hope this helps
6 0
3 years ago
What is (14x^2– 27x+9) / (7x-3)?<br><br> A. 7x-3<br> B. 2x-3<br> C. -211x+9<br> D. 2x-33
Yakvenalex [24]

Answer:

B. 2x - 3

Step-by-step explanation:

\rm \frac{ {14x}^{2}  - 27x + 9}{7x - 3}

\rm  =  \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}}

\boxed{ \rm   \bold{= 2x - 3}}

4 0
3 years ago
Hey y’all , please give me the correct answer.
eduard

Answer:

-s-6>-7

Step-by-step explanation:

Just ask!

Hope this helps. :)

6 0
2 years ago
Read 2 more answers
-7 (-6) + 17 help plz
Elden [556K]

Answer: 59

Step-by-step explanation:

-7 (-6) + 17  (multiply -7 and -6)  

= 42+17      (simplify)

=59

3 0
2 years ago
Other questions:
  • Help me i need help with this
    14·1 answer
  • Pam’s annual gross pay is $48,000. If she is paid biweekly, what is her gross pay on each pay check?
    11·1 answer
  • The length of a rectangle is 3 less than twice the width. The perimeter is at least 210 cm. Find the smallest dimension of the r
    5·2 answers
  • Between what 2 numbers is pi
    12·2 answers
  • Draw and write to explain how you can divide a rectangle into thirds in two different ways
    5·2 answers
  • What is the following number in decimal form?
    5·1 answer
  • Garrett has one dollar less than three times as much money as Liz has. Together they have $179. What equation would you set up t
    11·1 answer
  • For question 6 find the value of m and p
    5·1 answer
  • Simplify please need it urgently ​
    8·1 answer
  • Math help please!<br> |120+x| x&lt;-120
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!